Average Error: 0.0 → 0.0
Time: 859.0ms
Precision: binary64
\[\sqrt{x + 1} - sqrt \cdot x\]
↓
\[\sqrt{x + 1} - sqrt \cdot x\]
\sqrt{x + 1} - sqrt \cdot x
↓
\sqrt{x + 1} - sqrt \cdot x
double code(double x, double sqrt) {
	return ((double) (((double) sqrt(((double) (x + 1.0)))) - ((double) (sqrt * x))));
}
↓
double code(double x, double sqrt) {
	return ((double) (((double) sqrt(((double) (x + 1.0)))) - ((double) (sqrt * x))));
}

Error

Bits error versus x

Bits error versus sqrt

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{x + 1} - sqrt \cdot x\]

  2. Final simplification0.0

    \[\leadsto \sqrt{x + 1} - sqrt \cdot x\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x sqrt)
  :name "(- (sqrt (+ x 1)) (* sqrt x))"
  :precision binary64
  (- (sqrt (+ x 1.0)) (* sqrt x)))